10232223101100 has 1728 divisors, whose sum is σ = 45310731927552. Its totient is φ = 1862756352000.

The previous prime is 10232223101099. The next prime is 10232223101131. The reversal of 10232223101100 is 110132223201.

10232223101100 is a `hidden beast` number, since 1 + 0 + 2 + 322 + 231 + 0 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1366661557 + ... + 1366669043.

It is an arithmetic number, because the mean of its divisors is an integer number (26221488384).

Almost surely, 2^{10232223101100} is an apocalyptic number.

10232223101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232223101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22655365963776).

10232223101100 is an abundant number, since it is smaller than the sum of its proper divisors (35078508826452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10232223101100 is a wasteful number, since it uses less digits than its factorization.

10232223101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10232223101100 its reverse (110132223201), we get a palindrome (10342355324301).

It can be divided in two parts, 10232223101 and 100, that added together give a palindrome (10232223201).

The spelling of 10232223101100 in words is "ten trillion, two hundred thirty-two billion, two hundred twenty-three million, one hundred one thousand, one hundred".